Between Raphael and Galileo: Mutio Oddi and the Mathematical Culture of Late Renaissance Italy
by Alexander Marr
University of Chicago Press, 2011 eISBN: 978-0-226-82696-7 | Cloth: 978-0-226-50628-9 Library of Congress Classification QA27.I8M35 2010 Dewey Decimal Classification 306.45
ABOUT THIS BOOK | AUTHOR BIOGRAPHY | REVIEWS | TOC | REQUEST ACCESSIBLE FILE
ABOUT THIS BOOK
Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569–1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics. A prime example of the artisan-scholar so prevalent in the late Renaissance, Oddi was also accomplished in the fields of civil and military architecture and the design and retail of mathematical instruments, as well as writing and publishing.
In Between Raphael and Galileo, Alexander Marr resurrects the career and achievements of Oddi in order to examine the ways in which mathematics, material culture, and the book shaped knowledge, society, and the visual arts in late Renaissance Italy. Marr scrutinizes the extensive archive of Oddi papers, documenting Oddi’s collaboration with prominent intellectuals and officials and shedding new light on the practice of science and art during his day. What becomes clear is that Oddi, precisely because he was not spectacularly innovative and did not attain the status of a hero in modern science, is characteristic of the majority of scientific practitioners and educators active in this formative age, particularly those whose energetic popularization of mathematics laid the foundations for the Scientific Revolution. Marr also demonstrates that scientific change in this era was multivalent and contested, governed as much by friendship as by principle and determined as much by places as by purpose.
Plunging the reader into Oddi’s world, Between Raphael and Galileo is a finely wrought and meticulously researched tale of science, art, commerce, and society in the late sixteenth and early seventeenth century. It will become required reading for any scholar interested in the history of science, visual art, and print culture of the Early Modern period.
AUTHOR BIOGRAPHY Alexander Marr is Reader in the History of Early Modern Art at the University of Cambridge. His most recent book is Logodaedalus: Word Histories of Ingenuity in Early Modern Europe.
REVIEWS
“Bringing together art history and the history of science, Alexander Marr engages the complex question of what being a mathematician meant in the early seventeenth century. Through a fine-grained reconstruction of the daily practices of Mutio Oddi and his many friends, students, correspondents, and employers, he adds much-needed texture to our map of mathematical networks in early modern Italy, the design and trade of instruments, the circulation of books and paintings about them, and the teaching of mathematics. Between Raphael and Galileo exemplifies cross-disciplinarity at its best. The whole is more than its disciplinary parts, and the scholarship is as solid as any art historian or historian of science would expect it to be.”
— Mario Biagioli, University of California, Davis
“Beautifully written and finely researched, Between Raphael and Galileo represents a major contribution to the literature on the history of science, the history of patronage, and the history of material culture. Alexander Marr’s compelling argument about the mediating role of mathematical objects such as books and instruments within a culture that prized interconnectedness intellectually, artistically, and socially grounds the life of the mind in the world of commerce and practice. In Marr’s hands Oddi is a revelation—someone who exhibits so beautifully the late Renaissance preoccupation with the past alongside the new science’s concerns for the advancement of knowledge that (had he not existed) we might have been tempted to invent him.”
— Deborah Harkness, author of The Jewel House: Elizabethan London and the Scientific Revolution
“What was the everyday practice of mathematics in the age of Galileo? How did it serve the needs of artists, architects, scholars, surveyors, engineers, and princely condottieri engaged in the art of war with a compass in hand? Alexander Marr’s book deftly reconstructs the multifaceted nature of mathematics in late Renaissance Italy. His study is impressive in terms of the depth and range of the research and its interdisciplinary ambition to situate Renaissance mathematics in its multiple contexts.”
— Paula Findlen, Stanford University
“A compelling account of an extraordinarily rich mathematical culture.”
— Alex Danchev, Times Higher Education
“By writing a big book about a small mathematician, Marr has fundamentally revised our understanding of what mathematics is, and how it was practised around 1600. Finely researched, eloquently written, and beautifully illustrated; the book succeeds, intellectually and materially, in living up to and exceeding the standards of his subject, Mutio Oddi, as well as those of the finest historical scholarship.”
— Sven Dupré, Intellectual History Review
“This study is an outstanding contribution to our understanding of the mathematical culture of the late Renaissance, not least because it illuminates the ways in which that culture was closely associated with material production, artisanal concerns, and military practices, and brought together people from diverse social strata.”
— Pamela O. Long, Renaissance Quarterly
“This beautifully written and elegantly executed book on Oddi’s life and work navigates several fields: history of science, history of art, intellectual history, visual studies, and material culture.”
— David R. Topper, Isis
"[A] convincing illustration of Oddi's role as a bridge between the artistic traditions of Raphael adn the scientific culture of Galileo."
— R. M. Davis, Choice
“[A] much-needed study of the material, textual and artistic world of the sixteenth-century mathematician.”
— Renée Raphael, British Journal for the History of Science
“Oddi is certainly an interesting subject and, as Marr shows, he reflects many aspects of Renaissance culture.”
— Rienk Vermij, University of Oklahoma, Technology and Culture
“While it may seem that the book would appeal to a limited audience—too much math for most art historians and not enough for most historians of math—interdisciplinary scholarship of this depth is the closest thing we have to time travel. The book is so well written, Oddi’s story so engaging, and the illustrations so compelling that a variety of readers will appreciate Marr’s guided tour of the Renaissance wherein we learn to see ‘mathematics as a culture rather than simply a discipline.’”
— Madeline Muntersbjorn, University of Toledo, HOPOS
TABLE OF CONTENTS
Contents
List of Figures
Acknowledgments
Note on Quotations
Prologue. Quell’otio della prigione
Introduction
Part I. Locating Mathematics
Chapter One. Patria, Exile, and uomini illustri
Part II. Teaching Mathematics
Chapter Two. Public Lectures and Private Pupils: Mathematics Teaching in Milan
Chapter Three. Amicizia and Optics: A Mathematics Lesson Portrayed
Part III. Consuming Mathematics
Chapter Four. Practical Mathematics in Print
Chapter Five. Instruments, Markets, and Mediators
Part IV. Mathematics and the Arts of Design
Chapter Six. Disegno: From Drawings to the Cosmic System
Epilogue. The Return of Mutio Oddi
Historiographical Note on the Urbino School of Mathematicians
Appendix A: Mutio Oddi’s Pupils in Mathematics, 1612–1624
Appendix B: Distribution List for Dello squadro trattato (1625)
Appendix C: Instruments of Urbino’s Officina di strumenti matematici
Notes
Bibliography
Index
REQUEST ACCESSIBLE FILE
If you are a student who cannot use this book in printed form, BiblioVault may be able to supply you
with an electronic file for alternative access.
Please have the accessibility coordinator at your school fill out this form.
Between Raphael and Galileo: Mutio Oddi and the Mathematical Culture of Late Renaissance Italy
by Alexander Marr
University of Chicago Press, 2011 eISBN: 978-0-226-82696-7 Cloth: 978-0-226-50628-9
Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569–1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics. A prime example of the artisan-scholar so prevalent in the late Renaissance, Oddi was also accomplished in the fields of civil and military architecture and the design and retail of mathematical instruments, as well as writing and publishing.
In Between Raphael and Galileo, Alexander Marr resurrects the career and achievements of Oddi in order to examine the ways in which mathematics, material culture, and the book shaped knowledge, society, and the visual arts in late Renaissance Italy. Marr scrutinizes the extensive archive of Oddi papers, documenting Oddi’s collaboration with prominent intellectuals and officials and shedding new light on the practice of science and art during his day. What becomes clear is that Oddi, precisely because he was not spectacularly innovative and did not attain the status of a hero in modern science, is characteristic of the majority of scientific practitioners and educators active in this formative age, particularly those whose energetic popularization of mathematics laid the foundations for the Scientific Revolution. Marr also demonstrates that scientific change in this era was multivalent and contested, governed as much by friendship as by principle and determined as much by places as by purpose.
Plunging the reader into Oddi’s world, Between Raphael and Galileo is a finely wrought and meticulously researched tale of science, art, commerce, and society in the late sixteenth and early seventeenth century. It will become required reading for any scholar interested in the history of science, visual art, and print culture of the Early Modern period.
AUTHOR BIOGRAPHY Alexander Marr is Reader in the History of Early Modern Art at the University of Cambridge. His most recent book is Logodaedalus: Word Histories of Ingenuity in Early Modern Europe.
REVIEWS
“Bringing together art history and the history of science, Alexander Marr engages the complex question of what being a mathematician meant in the early seventeenth century. Through a fine-grained reconstruction of the daily practices of Mutio Oddi and his many friends, students, correspondents, and employers, he adds much-needed texture to our map of mathematical networks in early modern Italy, the design and trade of instruments, the circulation of books and paintings about them, and the teaching of mathematics. Between Raphael and Galileo exemplifies cross-disciplinarity at its best. The whole is more than its disciplinary parts, and the scholarship is as solid as any art historian or historian of science would expect it to be.”
— Mario Biagioli, University of California, Davis
“Beautifully written and finely researched, Between Raphael and Galileo represents a major contribution to the literature on the history of science, the history of patronage, and the history of material culture. Alexander Marr’s compelling argument about the mediating role of mathematical objects such as books and instruments within a culture that prized interconnectedness intellectually, artistically, and socially grounds the life of the mind in the world of commerce and practice. In Marr’s hands Oddi is a revelation—someone who exhibits so beautifully the late Renaissance preoccupation with the past alongside the new science’s concerns for the advancement of knowledge that (had he not existed) we might have been tempted to invent him.”
— Deborah Harkness, author of The Jewel House: Elizabethan London and the Scientific Revolution
“What was the everyday practice of mathematics in the age of Galileo? How did it serve the needs of artists, architects, scholars, surveyors, engineers, and princely condottieri engaged in the art of war with a compass in hand? Alexander Marr’s book deftly reconstructs the multifaceted nature of mathematics in late Renaissance Italy. His study is impressive in terms of the depth and range of the research and its interdisciplinary ambition to situate Renaissance mathematics in its multiple contexts.”
— Paula Findlen, Stanford University
“A compelling account of an extraordinarily rich mathematical culture.”
— Alex Danchev, Times Higher Education
“By writing a big book about a small mathematician, Marr has fundamentally revised our understanding of what mathematics is, and how it was practised around 1600. Finely researched, eloquently written, and beautifully illustrated; the book succeeds, intellectually and materially, in living up to and exceeding the standards of his subject, Mutio Oddi, as well as those of the finest historical scholarship.”
— Sven Dupré, Intellectual History Review
“This study is an outstanding contribution to our understanding of the mathematical culture of the late Renaissance, not least because it illuminates the ways in which that culture was closely associated with material production, artisanal concerns, and military practices, and brought together people from diverse social strata.”
— Pamela O. Long, Renaissance Quarterly
“This beautifully written and elegantly executed book on Oddi’s life and work navigates several fields: history of science, history of art, intellectual history, visual studies, and material culture.”
— David R. Topper, Isis
"[A] convincing illustration of Oddi's role as a bridge between the artistic traditions of Raphael adn the scientific culture of Galileo."
— R. M. Davis, Choice
“[A] much-needed study of the material, textual and artistic world of the sixteenth-century mathematician.”
— Renée Raphael, British Journal for the History of Science
“Oddi is certainly an interesting subject and, as Marr shows, he reflects many aspects of Renaissance culture.”
— Rienk Vermij, University of Oklahoma, Technology and Culture
“While it may seem that the book would appeal to a limited audience—too much math for most art historians and not enough for most historians of math—interdisciplinary scholarship of this depth is the closest thing we have to time travel. The book is so well written, Oddi’s story so engaging, and the illustrations so compelling that a variety of readers will appreciate Marr’s guided tour of the Renaissance wherein we learn to see ‘mathematics as a culture rather than simply a discipline.’”
— Madeline Muntersbjorn, University of Toledo, HOPOS
TABLE OF CONTENTS
Contents
List of Figures
Acknowledgments
Note on Quotations
Prologue. Quell’otio della prigione
Introduction
Part I. Locating Mathematics
Chapter One. Patria, Exile, and uomini illustri
Part II. Teaching Mathematics
Chapter Two. Public Lectures and Private Pupils: Mathematics Teaching in Milan
Chapter Three. Amicizia and Optics: A Mathematics Lesson Portrayed
Part III. Consuming Mathematics
Chapter Four. Practical Mathematics in Print
Chapter Five. Instruments, Markets, and Mediators
Part IV. Mathematics and the Arts of Design
Chapter Six. Disegno: From Drawings to the Cosmic System
Epilogue. The Return of Mutio Oddi
Historiographical Note on the Urbino School of Mathematicians
Appendix A: Mutio Oddi’s Pupils in Mathematics, 1612–1624
Appendix B: Distribution List for Dello squadro trattato (1625)
Appendix C: Instruments of Urbino’s Officina di strumenti matematici
Notes
Bibliography
Index
REQUEST ACCESSIBLE FILE
If you are a student who cannot use this book in printed form, BiblioVault may be able to supply you
with an electronic file for alternative access.
Please have the accessibility coordinator at your school fill out this form.
It can take 2-3 weeks for requests to be filled.
ABOUT THIS BOOK | AUTHOR BIOGRAPHY | REVIEWS | TOC | REQUEST ACCESSIBLE FILE